The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations
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Publication:1965050
DOI10.1016/0375-9601(94)00705-TzbMath0961.35506OpenAlexW2065085019MaRDI QIDQ1965050
Publication date: 6 February 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(94)00705-t
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
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Cites Work
- Nonlinearization of the Lax system for AKNS hierarchy
- Hierarchy of Poisson brackets for elements of a scattering matrix
- Parametric representation of the finite-band solution of the Heisenberg equation
- Prolongation structures for Harry Dym type equations and Backlund transformations of CC ideals
- Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem
- An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
